52338279630400 has 189 divisors, whose sum is σ = 136818943003299. Its totient is φ = 19701970882560.

The previous prime is 52338279630361. The next prime is 52338279630407. The reversal of 52338279630400 is 403697283325.

The square root of 52338279630400 is 7234520.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 1224244879936 + 51114034750464 = 1106456^2 + 7149408^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (52338279630407) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4919468281 + ... + 4919478919.

Almost surely, 2^{52338279630400} is an apocalyptic number.

52338279630400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

52338279630400 is the 7234520-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52338279630400

52338279630400 is an abundant number, since it is smaller than the sum of its proper divisors (84480663372899).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

52338279630400 is an frugal number, since it uses more digits than its factorization.

52338279630400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21334 (or 10663 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 52.

The spelling of 52338279630400 in words is "fifty-two trillion, three hundred thirty-eight billion, two hundred seventy-nine million, six hundred thirty thousand, four hundred".